Find two numbers whose difference is 124 and whose product is a minimum. (smaller number) (larger number)

For this case, the first thing we must do is define variables.

We have then:

x: unknown number 1

y: unknown number 2

The difference of both numbers is 124:

The product of both numbers is:

Writing the product based on a variable we have:

Rewriting:

To find the minimum of the function, we must derive:

We equal zero and clear x:

Then, the value of the other number is given by:

The searched numbers that meet both conditions are:

smaller number = 62

larger number = -62

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: